Convert to Rectangular Coordinates (2.194,-0.907)

$(2.194, - 0.907)$

Step 1

Use the conversion formulas to convert from polar coordinates to rectangular coordinates.

$x = r c o s θ$

$y = r s i n θ$

Step 2

Substitute in the known values of $r = 2.194$ and $θ = - 0.907$ into the formulas.

$x = (2.194) \cos (- 0.907)$

$y = (2.194) \sin (- 0.907)$

Step 3

Multiply $2.194$ by $\cos (- 0.907)$ .

$x = 1.35174862$

$y = (2.194) \sin (- 0.907)$

Step 4

Multiply $2.194$ by $\sin (- 0.907)$ .

$x = 1.35174862$

$y = - 1.72812374$

Step 5

The rectangular representation of the polar point $(2.194, - 0.907)$ is $(1.35174862, - 1.72812374)$ .

$(1.35174862, - 1.72812374)$